Two Sydney nurses may not yet know they've been stood down over anti-Semitic comments.

A video has been posted to social media of the pair in uniform, saying they'd rather kill Israeli people than treat them.

The Australian Government has launched an investigation.

Australian correspondent Andrew MacFarlane says the nurses work night shifts, so may still be asleep.

"So while the health department in has said they've been stood down and are likely to be fired, the pair of them might not actually know that just yet."

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